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A particle of mass m, charge q gt 0 and ...

A particle of mass m, charge `q gt 0` and initial kinetic energy K is projected from infinity towards a heavy nucleus of charge Q assumed to have a fixed position.
(a) If the aim is perfect, how close to the centre of the nucleus is the particle when it comes instantaneously to rest ?
(b) With a particular imperfect aim, the particle's closest approach to nucleus is twicw the distance determined in (a). Determine speed of particle at the closest distance of approach.

Text Solution

Verified by Experts

The correct Answer is:
(a) `(Qq)/(4pi epsi_(0) K)` (b) `sqrt(K/m)`
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